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quant-ph2024★ 2 cited
Quantitative convergence of trained quantum neural networks to a Gaussian process
Anderson Melchor Hernandez, Filippo Girardi, Davide Pastorello +1
We study quantum neural networks where the generated function is the expectation value of the sum of single-qubit observables across all qubits. In [Girardi \emph{et al.}, arXiv:24…
math-ph2024★ 2 cited
Quantum concentration inequalities and equivalence of the thermodynamical ensembles: an optimal mass transport approach
Giacomo De Palma, Davide Pastorello
We prove new concentration inequalities for quantum spin systems which apply to any local observable measured on any product state or on any state with exponentially decaying corre…